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Concerning Rings of Continuous Functions

✍ Scribed by M. Eidelheit

Book ID
120612686
Publisher
John Hopkins University Press
Year
1940
Tongue
English
Weight
212 KB
Volume
41
Category
Article
ISSN
0003-486X

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πŸ“œ SIMILAR VOLUMES

Clean rings of continuous functions
Clean rings of continuous functions
✍ Anthony W. Hager; Chawne M. Kimber πŸ“‚ Article πŸ“… 2007 πŸ› Springer 🌐 English βš– 597 KB
Two examples concerning almost continuou
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✍ Krzysztof Ciesielski; Andrzej RoslΜ΅anowski πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 171 KB

In this note we will construct, under the assumption that union of less than continuum many meager subsets of R is meager in R, an additive connectivity function f : R β†’ R with Cantor intermediate value property which is not almost continuous. This gives a partial answer to a question of Banaszewski

Continuous Functions on Discrete Valuati
Continuous Functions on Discrete Valuation Rings
✍ Koichi Tateyama πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 110 KB

Let R be a complete discrete valuation ring with finite residue field, let K be its quotient field. We construct polynomial functions .(n, a)(n=0, 1, ...) such that any continuous function f from R into K has the following expansion where the sequence [a n ]/K is uniquely determined by f and satisf